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Finding the Fourth Proportional to 1,880.56, 2,818.32 and 1,058.50

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Solution

The fourth proportional to 1,880.56, 2,818.32 and 1,058.50 is: 1,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.56 : 2,818.32 = 1,058.50 : x
  2. Step 2: Convert to fraction form
    1,880.56/2,818.32 = 1,058.50/x
  3. Step 3: Cross multiply
    1,880.56x = 2,818.32 × 1,058.50
  4. Step 4: Simplify right side
    1,880.56x = 2,983,191.72
  5. Step 5: Solve for x
    x = 2,983,191.72/1,880.56
  6. Step 6: Final answer
    x = 1,586.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.